A class of algorithms for the numerical treatment of the Boltzmann equation is introduced. This class generalizes the standard direct where f is the solution of Eq. (1.1), by a system of point simulation Monte Carlo method, which is contained as a particular measures defined by a particle system. Th
Convergence of the Stochastic Weighted Particle Method for the Boltzmann Equation
โ Scribed by Matheis, Ingo; Wagner, Wolfgang
- Book ID
- 118188852
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2003
- Tongue
- English
- Weight
- 219 KB
- Volume
- 24
- Category
- Article
- ISSN
- 1064-8275
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Different ideas for reducing the number of particles in the stochastic weighted particle method for the Boltzmann equation are described and discussed. The corresponding error bounds are obtained and numerical tests for the spatially homogeneous Boltzmann equation presented. It is shown that if an a
Stochastic particle methods for the numerical treatment of the Boltzmann equation for dilute monatomic gases are considered. One particular stochastic model of particles with weights is introduced. Recent convergence results for this model are discussed. The introduction of certain degrees of freedo